論文

査読有り
2012年9月

Two-dimensional lattice liquid models

PHYSICAL REVIEW E
  • Yukitaka Ishimoto
  • ,
  • Takahiro Murashima
  • ,
  • Takashi Taniguchi
  • ,
  • Ryoichi Yamamoto

86
3
開始ページ
031124
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevE.86.031124
出版者・発行元
AMER PHYSICAL SOC

A family of models of liquid on a two-dimensional lattice (2D lattice liquid models) have been proposed as primitive models of soft-material membrane. As a first step, we have formulated them as single-component, single-layered, classical particle systems on a two-dimensional surface with no explicit viscosity. Among the family of the models, we have shown and constructed two stochastic models, a vicious walk model and a flow model, on an isotropic regular lattice and on some honeycomb lattices of various sizes. In both cases, the dynamics is governed by the nature of the frustration of the particle movements. By simulations, we have found the approximate functional form of the frustration probability and peculiar anomalous diffusions in their time-averaged mean-square displacements in the flow model. The relations to other existing statistical models and possible extensions of the models are also discussed.

リンク情報
DOI
https://doi.org/10.1103/PhysRevE.86.031124
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000308874200001&DestApp=WOS_CPL
ID情報
  • DOI : 10.1103/PhysRevE.86.031124
  • ISSN : 1539-3755
  • Web of Science ID : WOS:000308874200001

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